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Assume that the weight X in ounces of a “10- ounce” box of

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 2E Chapter 8.7

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 2E

PROBLEM 2E

Assume that the weight X in ounces of a “10- ounce” box of cornflakes is N(μ, 0.03). Let X1,X2, . . . ,Xn be a random sample from this distribution.

(a) To test the hypothesis H0: μ ≥ 10.35 against the alternative hypothesis H1: μ < 10.35, what is the critical region of size α = 0.05 specified by the likelihood ratio test criterion? Hint: Note that if μ ≥ 10.35 and

(b) If a random sample of n = 50 boxes yielded a sample mean of  is H0 rejected? Hint: Find the critical value zα when H0 is true by taking μ = 10.35, which is the extreme value in μ ≥ 10.35.

(c) What is the p-value of this test?

Step-by-Step Solution:
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Chapter 8.7, Problem 2E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Since the solution to 2E from 8.7 chapter was answered, more than 397 students have viewed the full step-by-step answer. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The answer to “Assume that the weight X in ounces of a “10- ounce” box of cornflakes is N(?, 0.03). Let X1,X2, . . . ,Xn be a random sample from this distribution.(a) To test the hypothesis H0: ? ? 10.35 against the alternative hypothesis H1: ? < 10.35, what is the critical region of size ? = 0.05 specified by the likelihood ratio test criterion? Hint: Note that if ? ? 10.35 and (b) If a random sample of n = 50 boxes yielded a sample mean of is H0 rejected? Hint: Find the critical value z? when H0 is true by taking ? = 10.35, which is the extreme value in ? ? 10.35.(c) What is the p-value of this test?” is broken down into a number of easy to follow steps, and 120 words. The full step-by-step solution to problem: 2E from chapter: 8.7 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. This full solution covers the following key subjects: test, sample, random, critical, hypothesis. This expansive textbook survival guide covers 59 chapters, and 1476 solutions.

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